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Abstract manipulation of symbols. Transforming an algebraic expression into the desired form.

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I am trying to write some symbolic inequality proofs in Mathematica. What would be a clean way to make the inference that a >= b and b > c implies a > c? Or alternatively, given an inequality b > c, …
asked Apr 3 by user1747134
1
vote
1answer
I have a somewhat complicated inequality expression like this: ineq = i * Log[n/i] + Log[r[i, 0]] + (n - i) * Log[ …
asked Apr 4 by user1747134
1
vote
OK, I guess I figured it myself, the following seems to do what I need: JensenCoef[a_ Log[b_]] := a JensenCoef[Log[b_]] := 1 JensenCoef[Sum[Times[a__, Log[b_]], i_]] := Sum[Times[a], i] JensenUpperBo …
answered Apr 4 by user1747134
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So far I have come up with this solution: ApplyLeft[f_, rel_] := ReplacePart[rel, 1 -> f[rel[[1]]]] ApplyRight[f_, rel_] := ReplacePart[rel, 2 -> f[rel[[2]]]]
answered Apr 3 by user1747134